Finding the Third Proportional to 182,776.50 and 282,460.50

Step by Step Solution

1. Step 1: Write the proportion equation
   182,776.50 : 282,460.50 = 282,460.50 : x
2. Step 2: Convert to fraction form
   182,776.50/282,460.50 = 282,460.50/x
3. Step 3: Cross multiply
   182,776.50x = 282,460.50 × 282,460.50
4. Step 4: Simplify right side
   182,776.50x = 79,783,934,060.25
5. Step 5: Solve for x
   x = 79,783,934,060.25/182,776.50
6. Step 6: Final answer
   x = 436,510.90